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Questions asked by rvidyagovindarajan_1
Questions
870
questions
0
answers selected
Find the projection of the vector \( \hat i + \hat j + \hat k\) on the vector $\hat j$.
cbse
class12
modelpaper-2014
65-2-3
sec-a
q7
math
asked
Mar 20, 2014
1
answer
Find the value of the following:\[cos^{-1} \big(- \frac {1} {2} \big)+2 sin^{-1}\frac {1} {2} \]
cbse
modelpaper-2014
65-2-3
sec-a
q6
asked
Mar 20, 2014
1
answer
Let $R=\{(a,a^3):\:a\: is\: a\: prime\:number\: less\: than\: 5\}$ be a relation. Find the Range of $R$.
cbse
modelpaper-2014
65-2-3
sec-a
q5
asked
Mar 20, 2014
1
answer
If $A$ is a $3\times 3$ matrix, and $ |A|\neq0$ and $|3A|=k.|A|,$ then write the value of $k$
cbse
modelpaper-2014
65-2-3
sec-a
q4
asked
Mar 20, 2014
1
answer
Find the angle between the pairs of lines: $ \overrightarrow r = 2\hat i -5 \hat j +\hat k + \lambda (3\hat i +2 \hat j +6\hat k)\: and \: \overrightarrow r = 7\hat i - 6\hat k + \mu (\hat i +2\hat j +2\hat k) $
cbse
modelpaper-2014
65-2-3
sec-a
q3
asked
Mar 20, 2014
1
answer
Use elementary column operation $C_2\rightarrow C_2-2C_1$ in the matrix equation $\begin{bmatrix}4 & 2\\3 & 3\end{bmatrix}=\begin{bmatrix}1 & 2\\0 & 3\end{bmatrix}\:\begin{bmatrix}2 & 0\\1 & 1\end{bmatrix}$
cbse
modelpaper-2014
65-2-3
sec-a
q2
asked
Mar 20, 2014
1
answer
Evaluate $\int\large\frac{dx}{sin^2x\:cos^2x}$
cbse
modelpaper-2014
65-2-3
sec-a
q1
easy
asked
Mar 20, 2014
1
answer
Find the sum of $n$ terms of the series $(3\times 8)+(6\times 11)+(9\times 14).............$
cbse
class11
ch9
bookproblem
exercise9-4
sec-c
medium
q6
math
sequences-and-series
asked
Mar 13, 2014
1
answer
Find the sum of 20 terms of the series. $5^2+6^2+7^2+.....20^2$
cbse
class11
ch9
math
exercise9-3
sec-b
easy
q5
sequences-and-series
asked
Mar 12, 2014
1
answer
Find the sum to $n$ terms of the series $\large\frac{1}{1\times 2}+\frac{1}{2\times 3}+\frac{1}{3\times 4}+..........$
cbse
class11
ch9
bookproblem
difficult
exercise9-4
sec-c
q4
math
sequences-and-series
asked
Mar 10, 2014
1
answer
Find the sum of $n$ terms of the series $3\times 1^2+5\times 2^2+7\times 3^2+.........$
cbse
class11
ch9
bookproblem
exercise9-4
sec-c
medium
q3
math
sequences-and-series
asked
Mar 7, 2014
1
answer
Find the sum of $n$ terms of the series $(1\times 2\times 3)+(2\times 3\times 4)+(3\times 4\times 5)+.......$
cbse
class11
ch9
bookproblem
exercise9-4
medium
sec-c
q2
math
sequences-and-series
asked
Mar 7, 2014
1
answer
Find the sum of $n$ terms of the series $1\times 2+2\times 3+3\times 4+4\times 5+.............$
cbse
class11
ch9
bookproblem
exercise9-4
sec-b
medium
q1
math
sequences-and-series
asked
Mar 7, 2014
1
answer
If A.M. and G.M. of roots of a quadratic equation are $8$ and $5$ respectively. Find the quadratic equation.
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q32
math
sequences-and-series
asked
Mar 7, 2014
1
answer
What will Rs. 500 amounts to in $10$ years after its deposit in a bank which pays annual interest of $10%$ compounded annually?
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
easy
q31
math
sequences-and-series
asked
Mar 6, 2014
1
answer
The number of bacteria in certain culture doubles every hour. If there were $30$ bacteria present in the culture originally, how many bacteria will be present at the end of $2^{nd}$ hour, $4^{th}$ hour and $n^{th}$ hour?
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q30
math
sequences-and-series
asked
Mar 6, 2014
1
answer
$ the A.M. and $G$ the G.M. between two positive numbers then show that the numbers are $A\pm \sqrt {(A+G)(A-G)}$
cbse
class11
ch9
bookproblem
exercise9-3
sec-c
difficult
q29
math
sequences-and-series
asked
Mar 6, 2014
1
answer
The sum of two numbers is $6$ times their geometric mean.Show that the ratio of the numbers is $3+2\sqrt 2\::\:3-2\sqrt 2$
cbse
class11
ch9
bookproblem
exercise9-3
difficult
sec-c
q28
math
sequences-and-series
asked
Mar 5, 2014
1
answer
Find the value of $n$ so that $\large\frac{a^{n+1}+b^{n+1}}{a^n+b^n}$ may be the geometric mean between $a$ and $b$.
cbse
class11
ch9
bookproblem
exercise9-3
difficult
sec-c
q27
math
sequences-and-series
asked
Mar 4, 2014
1
answer
Insert $2$ numbers between $3$ and $81$ so that the resulting sequence is a G.P. Find the two numbers.
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q26
math
sequences-and-series
asked
Mar 3, 2014
1
answer
Insert $2$ numbers between $3$ and $81$ so that the resulting sequence is a G.P. Find the two numbers.
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q26
math
sequences-and-series
asked
Mar 3, 2014
1
answer
If $a,b,c,d$ are in G.P, then show that $(a^2+b^2+c^2)(b^2+c^2+d^2)=(ab+bc+cd)^2$
cbse
class11
ch9
bookproblem
exercise9-3
medium
sec-b
q25
math
sequences-and-series
asked
Mar 3, 2014
1
answer
Show that the ratio of the first $n$ terms of a G.P. to the sum of the terms from $(n+1)^{th}$ to $(2n)^{th}$ term is $1:r^n$
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
medium
q24
math
sequences-and-series
asked
Mar 2, 2014
1
answer
If the first and $n^{th}$ term of a G.P. are $a$ and $b$ respectively and if $P$ is the product of the $n$ terms then prove that $P^2=(ab)^n$
cbse
class11
ch9
bookproblem
exercise9-3
difficult
sec-b
q23
math
sequences-and-series
asked
Mar 2, 2014
1
answer
If the $p^{th},q^{th}\:\:and\:\:r^{th}$ terms of G.P.are $a,b\:\:and\:\:c$ respectively then prove that $a^{q-r}.b^{r-p}.c^{p-q}=1$
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
medium
q22
math
sequences-and-series
asked
Mar 1, 2014
1
answer
Find the four numbers forming a G.P. in which the $3^{rd}$ term is greater than the $1^{st}$ term by $9$ and the $2^{nd}$ term is greater than the $4^{th}$ term by $18$.
cbse
class11
ch9
bookproblem
exercise9-3
medium
sec-b
q21
math
sequences-and-series
asked
Mar 1, 2014
1
answer
Show that the product of the corresponding terms of the sequences $a,ar,ar^2.........ar^n$ and $A,AR,AR^2.............AR^{n-1}$ form a G.P. and find the common ratio.
cbse
class11
ch9
bookproblem
exercise9-3
medium
sec-a
q20
math
sequences-and-series
asked
Mar 1, 2014
1
answer
Find the sum of the products of the corresponding terms of the sequences $2,4,8,.......32$ and $128,32,8,......\large\frac{1}{2}$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
medium
q19
math
sequences-and-series
asked
Mar 1, 2014
1
answer
Find the sum to $n$ terms of the sequence $8,88,888,.............$
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
medium
q18
math
sequences-and-series
asked
Feb 27, 2014
1
answer
If the $4^{th},10^{th}\:\;and\:\:16^{th}$ terms of a G.P. are $x,y\:\;and\:\:z$ respectively. Prove that $x,y,z$ are in G.P.
cbse
class11
ch9
bookproblem
exercise9-3
medium
sec-b
q17
math
sequences-and-series
asked
Feb 27, 2014
1
answer
Find the G.P. the sum of whose first two terms is $-4$ and the $5^{th}$ term is $4$ times the $3^{rd}$ term.
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
easy
q16
math
sequences-and-series
asked
Feb 27, 2014
1
answer
Given a G.P. with $a=729$ and $7^{th}$ term is $64$. Find $S_7.$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q15
math
sequences-and-series
asked
Feb 27, 2014
1
answer
The sum of first three terms of a G.P. is $16$ and the sum of next three terms is $128$. Find the $1^{st}$ term, common ratio and the sum of $n$ terms of the G.P.
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
medium
q14
math
sequences-and-series
asked
Feb 26, 2014
1
answer
How many terms of the G.P. $3,3^2,3^3.......$ are needed to give the sum $120$?
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q13
math
sequences-and-series
asked
Feb 26, 2014
1
answer
The sum of first $3$ terms of a G.P is $\large\frac{39}{10}$ and their product is $1$. Find the common ratio and the terms of the G.P.
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
medium
q12
math
sequences-and-series
asked
Feb 26, 2014
1
answer
Evaluate $\sum\limits_{k=1}^{11} (2+3^k)$
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
easy
q11
math
sequences-and-series
asked
Feb 26, 2014
1
answer
Find the sum of $n$ terms of the G,P, $x^2,x^4,x^6...........$ in terms of $x$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q10
math
sequences-and-series
asked
Feb 26, 2014
1
answer
Find the sum up to $n$ terms of the G.P. $1,-a,a^2,-a^3.........$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q9
math
sequences-and-series
asked
Feb 26, 2014
1
answer
Find the sum upto $n$ terms of the G.P. $\sqrt 7,\sqrt {21},3\sqrt 7,.......$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q8
math
sequences-and-series
asked
Feb 26, 2014
1
answer
Find the sum of $20$ terms of the G.P., $0.15,0.015,0.0015................$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q7
math
sequences-and-series
asked
Feb 25, 2014
1
answer
For what value of $x$ the numbers $-\large\frac{2}{7},$$x,-\large\frac{7}{2}$ are in G.P.?
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q6
math
sequences-and-series
asked
Feb 25, 2014
1
answer
Which term of the sequence $\large\frac{1}{3},\frac{1}{9},\frac{1}{27}.......$ is $\large\frac{1}{19683}$?
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q5-c
math
sequences-and-series
asked
Feb 25, 2014
1
answer
Which term of the sequence $\sqrt 3,3,3\sqrt 3.......$ is $729?$
cbse
class11
ch9
bookproblem
exercise9-3
easy
sec-a
q5-b
math
sequences-and-series
asked
Feb 25, 2014
1
answer
Which term of the sequence $2,2\sqrt 2,4,.......\:\:is\:\:128?$
cbse
class11
ch9
bookproblem
exercise9-1
easy
sec-a
q5-a
math
sequences-and-series
asked
Feb 25, 2014
1
answer
The $4^{th}$ term of a G.P. is square of its second term, and the $1^{st}$ term is $-3$. Find its $7^{th}$ term.
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q4
math
sequences-and-series
asked
Feb 25, 2014
1
answer
The $5^{th},8^{th}\:and\:11^{th}$ terms of a $G.P.$ are $p,q\:and\:s$ respectively. Show that $q^2=ps$
cbse
class11
ch9
bookproblem
exercise9-3
easy
sec-a
q3
math
sequences-and-series
asked
Feb 25, 2014
1
answer
Find the $12^{th}$ term of the $G.P.$ whose $8^{th}$ term is $192$ and common ratio=$2$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q2
math
sequences-and-series
asked
Feb 25, 2014
1
answer
Find the $20^{th}$ term of the $G.P.\:\:\large\frac{5}{2},\frac{5}{4},\frac{5}{8},..........$
cbse
class11
ch9
bookproblem
exercise9-3
easy
sec-a
q1
math
sequences-and-series
asked
Feb 25, 2014
1
answer
The difference between any two consecutive interior angles of a polygon is $5^\circ$. If the smallest angle is $120^ \circ$, then find the number of sides of the polygon.
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
medium
q18
math
sequences-and-series
asked
Feb 24, 2014
1
answer
A man starts repaying a loan as first installment of $Rs.100$. If he increases the installment by $Rs.5$ every month, what amount he will pay in his $30^{th}$ installment?
cbse
class11
ch9
bookproblem
exercise9-2
easy
sec-a
q17
math
sequences-and-series
asked
Feb 24, 2014
1
answer
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